A flying squirrel lives in a nest that is 9 meters high in a tree. To reach a fallen acorn that is 4 meters from the base of the tree, how far will the flying squirrel have to glide? If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

Flying squirrel have to glide is for 9.8 meters approximately.

Step-by-step explanation:

Here we can use Pythagoras theorem.

Height is 9 , base is 4.

We need to find the hypotenuse measure.

So, let's use Pythagoras theorem [tex]a^{2} +b^{2}= c^{2}[/tex]

Plug in a as 9 and b 4.

[tex]9^{2} +4^{2}=c^{2}[/tex]

Simplify the left side of the equation

[tex]81+16=c^{2}[/tex]

[tex]97=c^{2}[/tex]

Take square root on both sides.

c=9.8 meters.


Related Questions

Plzz write with formula and explanation plzzzzzzzz answer fast

Answers

Answer:

Rs 19 1/8

Step-by-step explanation:

Fromm the above question, we are told that:

The cost of 2/3 meters of rope = Rs 12 3/4

We are asked to calculate the cost per meter of rope.

Hence:

2/3 meters of rope = Rs 12 3/4

1 meter of rope = Rs x

Cross Multiply

2/3x = 1 × 12 3/4

x = 12 3/4 ÷ 2/3

x = 51/4 ÷ 2/3

x = 51/4 × 3/2

x = 153/8

x = Rs 19 1/8

Therefore, the Cost per meter of rope = Rs 19 1/8

Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account?
x + y = 6,000. 0.025 x + 0.015 y = 110.
x + y = 6,000. 0.25 x + 0.15 y = 110.
x + y = 6,000. 0.025 x minus 0.015 y = 110.
x + y = 6,000. 2.5 x minus 1.5 y = 110.

Answers

Answer:

6000

Step-by-step explanation:

Answer:x+y = 6,000

0.025x-0.015y

Step-by-step explanation: did it on edge

find a ⋅ b
a = 7i - 4j, b = 4i + 3j

Answers

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

8 students in Mr. Webb's class got an A on the exit ticket. There are 25
students in his class total. What percent of students got an A?*

Answers

Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.

Answers

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]

Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: m Arc RS + m Arc ST + m Arc TQ = m Arc RQ

Answers

Answer:

Points R, S, T, Q on circle O is given

and points are central arc

Step-by-step explanation:

does anyone know the answer to 5(2t+3)=75 that can tell me how to find the answer not just the answer

Answers

Answer: Let me know if this helps.

Step-by-step explanation:

5(2t+3)=75     Distribute the 5 using multiplication. 5x2t and 5x3

10t+15=75      Subtract 15 because you need to get the t by itself.

10t = 60         Now divide by 10 to get t by itself. 10/10 and 60/10.

t = 6               Answer.

Answer:

t=6

Step-by-step explanation:

It's all about get t on one side of the equation, and so everything else on the other side of the equation.

The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):

(5(2t+3))/5=75/5

2t+3=15

The next thing we can get rid of is the 3. Subtract 3 from both sides:

2t+3-3=15-3

2t=12

Now, we get rid of the 2. Divide both sides by 2:

2t/2=12/2

t=6

Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).

Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).

Answers

1. y = -3x - 1
2. y = -3/1x + 16

Steps are on paper. If you need more explanation, you can comment.

Steve studies math for 7/8 of an hour and history for 2/3 of an hour. How many hours did he study?

Answers

Answer:

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

Step-by-step explanation:

Find a common multiple of the denominators 3 and 8, which would be 24.  Convert the fractions:

7/8 x 3/3 = 21/24.

2/3 x 8/8 = 16/24

Add the two numerators = 37/24 or 1 13/24.  

1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

help please !!! it's 6th grade math ​

Answers

Answer:

$150

Step-by-step explanation:

$30 x 3 = 90

$20 x 3 = 60

90 + 60 = $150

hope this helps! (:

HELP! THIS IS DUE IN LESS THAN 20 MINUTES! PLEASE!!! I'M ALREADY BEHIND AND THIS WILL SET ME BACK EVEN MORE!!!

Answers

Answer: For 7 this is how to graph it

definición de variable independiente y variable dependiente

Answers

Answer:

hhhhs jjeguuw iiwhrbmeo

Can someone help me.

Answers

Answer:

A.5,683.0000

B. 1,289,293.0000

C.3,567,920.0000

Step-by-step explanation:

The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportion that could be used to find out how many boys are in the High School. All algebraic steps must be shown for full credit. and steps algebraically.

Answers

Answer:

1476 boys

Step-by-step explanation:

We are going to use ratio here:

6/7=x/1,722

so then we simplify

(1,722*6)/7 =

1476 boys

What is the equation for p?

Answers

F(x)=(x)-1 I think that’s the answer but use Desmos to figure out

Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.

Answers

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

i need help with this anyone pleaseee

Answers

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?

Answers

Answer:

5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified

Step-by-step explanation:

2 x 5 x 10 helppppppp

Answers

Answer: 100

Step-by-step explanation:2*5 =10 then 10*10 is 100

Answer:

100

Step-by-step explanation:

so, here is how to work this problem out

2*5 = 10

10*10 = 100

How would you solve this question?

Answers

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477

Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5/6
C.3/16,9/48
D.6/15,4/10

Answers

B because all of the other ones are correct-

Ava pours 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can?

Answers

Answer:

0.6

Step-by-step explanation:

first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6

What is The midpoint of AB?

Answers

Answer:

(-2,0)

Step-by-step explanation:

(-2,0) is the midpoint I believe!

Hope that helps!

the mid point of AB is 1 and -1

What is the solution to the equation 1/3 n =6

Answers

Answer:

n=18

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If and , what is ? Write your answer in simplest form. When and , .

Answers

7920+48202849+820-891

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The solution is -3.

The graph is attached.

Step-by-step explanation:

To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].

The graph representing this is attached.

Hope it helps and is correct!

What is the equation for a line that passes through the points (-4,-3) and (8,12)?

Answers

Answer:

y = 1.25x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

( -4 , -3 ) ( 8 , 12 )

12 + 3   15 = 5

8 + 4    12 = 4

↑ slope = 5/4

↓ point slope form: y - y₁ = m ( x - x₁ )

y + 3 = 5/4 ( x + 4 )

y + 3 = 5/4x + 5

-3

y = 5/4x + 2

The function y=-16x^2+16x+32 represents the height in feet of a firework x seconds after it is launched

Answers

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Help please I have to submit it pretty soon.

Answers

1. 24 cents/.24
2. Every 2 daisies to total amount/ 2,9
3. 10 juices



Which number line shows all the values of that make the inequality -3 +1 < 7 true?

Answers

Answer:

Number line D is true

Step-by-step explanation:

Given

[tex]-3x + 1 < 7[/tex]

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in [tex]-3x + 1 < 7[/tex]

[tex]-3x < 7 - 1[/tex]

[tex]-3x < 6[/tex]

Divide through by -3

[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]

[tex]x > -2[/tex]

The inequality means x is greater than -2.

This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened

Number line D is true

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